Question

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2. Linear Function 1: y=x+8 Linear Function 2: (2,6) (4,10)

Answer 1

To compare the rate of change of linear functions, we can look at the slope of each function.

Linear Function 1 has a slope of 1, which means that for every 1 unit increase in x, there is a 1 unit increase in y.

Linear Function 2 passes through the points (2,6) and (4,10). The slope can be calculated as (10-6)/(4-2) = 4/2 = 2.

Therefore, Linear Function 2 has a greater rate of change compared to Linear Function 1.

Choose 2 for Linear Function 2.